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Finding the Fourth Proportional to 9,456.12, 14,182.92 and 5,946.48

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Solution

The fourth proportional to 9,456.12, 14,182.92 and 5,946.48 is: 8,918.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.12 : 14,182.92 = 5,946.48 : x
  2. Step 2: Convert to fraction form
    9,456.12/14,182.92 = 5,946.48/x
  3. Step 3: Cross multiply
    9,456.12x = 14,182.92 × 5,946.48
  4. Step 4: Simplify right side
    9,456.12x = 84,338,450.12
  5. Step 5: Solve for x
    x = 84,338,450.12/9,456.12
  6. Step 6: Final answer
    x = 8,918.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.